Exhibit 3

                      SECOND AMENDMENT TO RIGHTS AGREEMENT


      This Second Amendment to the Rights Agreement between Pennzoil-Quaker
State Company (formerly Pennzoil Products Company), a Delaware corporation (the
"Company"), and Mellon Investor Services LLC (formerly The Chase Manhattan
Bank), as Rights Agent (the "Rights Agent"), dated December 18, 1998 (the
"Rights Agreement") is hereby adopted as of March 25, 2002.

      WHEREAS, the Company and the Rights Agent entered into the Rights
Agreement specifying the terms of the Rights (as defined therein);

      WHEREAS, the Company desires to amend the Rights Agreement in accordance
with Section 27 of the Rights Agreement;

      WHEREAS, the Company proposes to enter into an Agreement and Plan of
Merger, dated as of March 25, 2002 (the "Merger Agreement"), by and among Shell
Oil Company, a Delaware corporation ("Parent"), Shell ND Company, a Delaware
corporation and a wholly owned subsidiary of Parent ("Merger Sub"), and the
Company;

      WHEREAS, the Board of Directors of the Company has determined it advisable
and in the best interest of its stockholders to amend the Rights Agreement to
enable the Company to enter into the Merger Agreement and consummate the
transactions contemplated thereby without causing Parent or any of its
subsidiaries to become an "Acquiring Person" (as defined in the Rights
Agreement).

      NOW, THEREFORE, in consideration of the premises and mutual agreements set
forth herein and in the Rights Agreement, the parties hereby agree as follows:

      Section 1. DEFINITIONS. Capitalized terms used and not otherwise defined
herein shall have the meaning assigned to such terms in the Rights Agreement.

      Section 2. AMENDMENTS TO RIGHTS AGREEMENT. The Rights Agreement is hereby
amended as set forth in this Section 2.

      (a)   The definition of "Acquiring Person" in Section 1 of the Rights
            Agreement is amended to add the following sentence at the end
            thereof:

      "Notwithstanding anything in this Agreement to the contrary, none of
      Parent, Merger Sub or any Affiliate or Associate of either of them shall
      be deemed to be an Acquiring Person, either individually or collectively,
      solely by virtue of (i) the execution and delivery of the Merger
      Agreement, (ii) the conversion of shares of Common Stock into the right to
      receive the Merger Consideration (as such term is defined in the Merger
      Agreement) in accordance with Article II of the Merger Agreement or (iii)
      the consummation of the Merger (as such term is defined in the Merger
      Agreement) or any other transaction contemplated by the Merger Agreement."




      (b)   The definition of "Flip-In Event" in Section 1 of the Rights
            Agreement is amended to add the following sentence at the end
            thereof:

      "Notwithstanding anything in this Agreement to the contrary, none of (i)
      the announcement of the Merger (as such term is defined in the Merger
      Agreement), (ii) the execution of the Merger Agreement or (iii) the
      consummation of the Merger or of the other transactions contemplated by
      the Merger Agreement shall be a Flip-In Event."

      (c)   The definition of "Distribution Date" in Section 1 of the Rights
            Agreement is amended to add the following sentence at the end
            thereof:

      "Notwithstanding anything in this Agreement to the contrary, a
      Distribution Date shall not be deemed to have occurred solely as the
      result of (i) the execution and delivery of the Merger Agreement, (ii) the
      conversion of shares of Common Stock into the right to receive the Merger
      Consideration (as such term is defined in the Merger Agreement) in
      accordance with Article II of the Merger Agreement or (iii) the
      consummation of the Merger (as such term is defined in the Merger
      Agreement) or any other transaction contemplated by the Merger Agreement."

      (d)   The definition of "Expiration Date" in Section 1 of the Rights
            Agreement is amended to replace the words "and (iv)" with ", (iv)"
            and to add at the end thereof the words "and (v) the Effective Time
            of the Merger (as such term is defined in the Merger Agreement)".

      (e)   The following definition shall be added to Section 1 of the Rights
            Agreement:

      "'Merger Agreement' shall mean the Agreement and Plan of Merger dated as
      of March 25, 2002 by and among Shell Oil Company, a Delaware corporation
      ("Parent"), Shell ND Company, a Delaware corporation and a wholly owned
      subsidiary of Parent ("Merger Sub"), and the Company."

      (f)   Section 13(d) of the Rights Agreement is amended to add "(A)" after
            the word "applicable" and the following at the end of the first
            sentence thereof: "or (B) solely as the result of (i) the execution
            and delivery of the Merger Agreement, (ii) the conversion of shares
            of Common Stock into the right to receive the Merger Consideration
            (as such term is defined in the Merger Agreement) in accordance with
            Article II of the Merger Agreement or (iii) the consummation of the
            Merger (as such term is defined in the Merger Agreement) or any
            other transaction contemplated by the Merger Agreement".

Section 3.        MISCELLANEOUS.

      (a)   The term "Agreement" as used in the Rights Agreement shall be deemed
            to refer to the Rights Agreement as amended hereby.

      (b)   The foregoing amendment shall be effective as of the date first
            above written, and, except as set forth herein, the Rights Agreement
            shall remain in full force and effect and shall be otherwise
            unaffected hereby.



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      (c)   This Amendment may be executed in two or more counterparts, each of
            which shall be deemed to be an original, but all for which together
            shall constitute one and the same instrument.

      (d)   This Amendment shall be deemed to be a contract made under the laws
            of the State of Delaware and for all purposes shall be governed by
            and construed in accordance with the laws of such State applicable
            to contracts to be made and performed entirely within such State.





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      IN WITNESS WHEREOF, the parties hereto have caused this Amendment to be
duly executed as of the day and year first above written.


                                PENNZOIL-QUAKER STATE COMPANY



                                By:    /s/ LINDA F. CONDIT
                                       ---------------------------------
                                Name:  Linda F. Condit
                                Title: Vice President and Corporate Secretary


                                MELLON INVESTOR SERVICES LLC



                                By:    /s/ BARBARA J. ROBBINS
                                       ---------------------------------
                                Name:  Barbara J. Robbins
                                Title: Vice President



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